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Quivers from Matrix Factorizations

Publication ,  Journal Article
Aspinwall, PS; Morrison, DR
Published in: Communications in Mathematical Physics
August 1, 2012

We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i. e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities which are resolved by a single ℙ 1 but have "length" greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in Landau-Ginzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions. © 2012 Springer-Verlag.

Duke Scholars

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

August 1, 2012

Volume

313

Issue

3

Start / End Page

607 / 633

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

Citation

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MLA
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Aspinwall, P. S., & Morrison, D. R. (2012). Quivers from Matrix Factorizations. Communications in Mathematical Physics, 313(3), 607–633. https://doi.org/10.1007/s00220-012-1520-1
Aspinwall, P. S., and D. R. Morrison. “Quivers from Matrix Factorizations.” Communications in Mathematical Physics 313, no. 3 (August 1, 2012): 607–33. https://doi.org/10.1007/s00220-012-1520-1.
Aspinwall PS, Morrison DR. Quivers from Matrix Factorizations. Communications in Mathematical Physics. 2012 Aug 1;313(3):607–33.
Aspinwall, P. S., and D. R. Morrison. “Quivers from Matrix Factorizations.” Communications in Mathematical Physics, vol. 313, no. 3, Aug. 2012, pp. 607–33. Scopus, doi:10.1007/s00220-012-1520-1.
Aspinwall PS, Morrison DR. Quivers from Matrix Factorizations. Communications in Mathematical Physics. 2012 Aug 1;313(3):607–633.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

August 1, 2012

Volume

313

Issue

3

Start / End Page

607 / 633

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics